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"title": "Minimum Area Rectangle II",
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"content": "<p>You are given an array of points in the <strong>X-Y</strong> plane <code>points</code> where <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>.</p>\n\n<p>Return <em>the minimum area of any rectangle formed from these points, with sides <strong>not necessarily parallel</strong> to the X and Y axes</em>. If there is not any such rectangle, return <code>0</code>.</p>\n\n<p>Answers within <code>10<sup>-5</sup></code> of the actual answer will be accepted.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2018/12/21/1a.png\" style=\"width: 398px; height: 400px;\" />\n<pre>\n<strong>Input:</strong> points = [[1,2],[2,1],[1,0],[0,1]]\n<strong>Output:</strong> 2.00000\n<strong>Explanation:</strong> The minimum area rectangle occurs at [1,2],[2,1],[1,0],[0,1], with an area of 2.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2018/12/22/2.png\" style=\"width: 400px; height: 251px;\" />\n<pre>\n<strong>Input:</strong> points = [[0,1],[2,1],[1,1],[1,0],[2,0]]\n<strong>Output:</strong> 1.00000\n<strong>Explanation:</strong> The minimum area rectangle occurs at [1,0],[1,1],[2,1],[2,0], with an area of 1.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2018/12/22/3.png\" style=\"width: 383px; height: 400px;\" />\n<pre>\n<strong>Input:</strong> points = [[0,3],[1,2],[3,1],[1,3],[2,1]]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There is no possible rectangle to form from these points.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= points.length &lt;= 50</code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>0 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 4 * 10<sup>4</sup></code></li>\n\t<li>All the given points are <strong>unique</strong>.</li>\n</ul>\n",
"translatedTitle": "最小面积矩形 II",
"translatedContent": "<p>给你一个&nbsp;<strong>X-Y&nbsp;</strong>平面上的点数组 <code>points</code>,其中 <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>。</p>\n\n<p>返回由这些点形成的任意矩形的最小面积,矩形的边&nbsp;<strong>不一定 </strong>平行于 X 轴和 Y 轴。如果不存在这样的矩形,则返回 <code>0</code>。</p>\n\n<p>答案只需在<code>10<sup>-5</sup></code> 的误差范围内即可被视作正确答案。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2018/12/21/1a.png\" style=\"width: 398px; height: 400px;\" />\n<pre>\n<strong>输入:</strong> points = [[1,2],[2,1],[1,0],[0,1]]\n<strong>输出:</strong> 2.00000\n<strong>解释:</strong> 最小面积矩形由 [1,2]、[2,1]、[1,0]、[0,1] 组成,其面积为 2。\n</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2018/12/22/2.png\" style=\"width: 400px; height: 251px;\" />\n<pre>\n<strong>输入:</strong> points = [[0,1],[2,1],[1,1],[1,0],[2,0]]\n<strong>输出:</strong> 1.00000\n<strong>解释:</strong> 最小面积矩形由 [1,0]、[1,1]、[2,1]、[2,0] 组成,其面积为 1。\n</pre>\n\n<p><strong class=\"example\">示例 3</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2018/12/22/3.png\" style=\"width: 383px; height: 400px;\" />\n<pre>\n<strong>输入:</strong> points = [[0,3],[1,2],[3,1],[1,3],[2,1]]\n<strong>输出:</strong> 0\n<strong>解释:</strong> 无法由这些点组成任何矩形。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= points.length &lt;= 50</code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>0 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 4 * 10<sup>4</sup></code></li>\n\t<li>所有给定的点都是&nbsp;<strong>唯一&nbsp;</strong>的。</li>\n</ul>\n",
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